(a) Calculate the tension in a vertical strand of spiderweb if a spider of mass
ID: 1881173 • Letter: #
Question
(a) Calculate the tension in a vertical strand of spiderweb if a spider of mass 6.00 10-5 kg hangs motionless on it.
58.8e-5 N
(b) Calculate the tension in a horizontal strand of spiderweb if the same spider sits motionless in the middle of it much like the tightrope walker in Figure 4.13. The strand sags at an angle of 14.0° below the horizontal. =N
Compare this with the tension in the vertical strand (find their ratio). = (tension in horizontal strand / tension in vertical strand)
TR net F = 0 TR Ly net F-0 net Fy-0 TR TRXExplanation / Answer
a) The tension in a vertical strand of spiderweb if a spider of mass 6.00 10-5 kg hangs motionless on it is Tv = mg = 6.00 10-5 9.8 = 58.8 10-5 N
b) TL = TR = Th
2Th sin 14 = 58.8 10-5 N
The tension in a horizontal strand of spiderweb if the same spider sits motionless in the middle of it is
Th = 58.8 10-5 N /2sin14 = 121.5 10-5 N
Th/Tv =121.5 10-5 N/ 58.8 10-5 N = 2.067
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